| eBook ISBN: | 978-0-8218-8126-2 |
| Product Code: | CONM/447.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8126-2 |
| Product Code: | CONM/447.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 447; 2007; 256 ppMSC: Primary 35; 47; 81
This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixty-fifth birthday of Jean-Michel Combes. The topics span modern mathematical physics with contributions on state-of-the-art results in the theory of random operators, including localization for random Schrödinger operators with general probability measures, random magnetic Schrödinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrödinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and long-time evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for first-order systems and solutions to the Ginzburg-Landau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.
ReadershipGraduate students and research mathematicians interested in mathematical physics and statistical mechanics.
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Table of Contents
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Articles
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Walter H. Aschbacher — On the emptiness formation probability in quasi-free states [ MR 2423567 ]
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Victor Chulaevsky — Wegner-Stollmann type estimates for some quantum lattice systems [ MR 2423568 ]
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Monique Combescure — The mutually unbiased bases revisited [ MR 2423569 ]
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Horia D. Cornean, Thomas G. Pedersen and Benjamin Ricaud — Perturbative vs. variational methods in the study of carbon nanotubes [ MR 2423570 ]
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S. De Bièvre, P. Lafitte and P. E. Parris — Normal transport at positive temperatures in classical Hamiltonian open systems [ MR 2423571 ]
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Pavel Exner and Jiří Lipovský — Equivalence of resolvent and scattering resonances on quantum graphs [ MR 2423572 ]
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S. Fournais and B. Helffer — Optimal uniform elliptic estimates for the Ginzburg-Landau system [ MR 2423573 ]
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François Germinet and Abel Klein — Localization for a continuum Cantor-Anderson Hamiltonian [ MR 2423574 ]
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François Germinet and Serguei Tcheremchantsev — Generalized fractal dimensions on the negative axis for non compactly supported measures [ MR 2423575 ]
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F. Ghribi, P. D. Hislop and F. Klopp — Localization for Schrödinger operators with random vector potentials [ MR 2423576 ]
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George A. Hagedorn and Alain Joye — Vibrational levels associated with hydrogen bonds and semiclassical Hamiltonian normal forms [ MR 2423577 ]
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Vojkan Jakšić and Claude-Alain Pillet — On the strict positivity of entropy production [ MR 2423578 ]
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Arne Jensen and Gheorghe Nenciu — Uniqueness results for transient dynamics of quantum systems [ MR 2423579 ]
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Vadim Kostrykin, Jürgen Potthoff and Robert Schrader — Heat kernels on metric graphs and a trace formula [ MR 2423580 ]
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J. L. Lebowitz, A. Lytova and L. Pastur — On a random matrix model of quantum relaxation [ MR 2423581 ]
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Didier Robert — Revivals of wave packets and Bohr-Sommerfeld quantization rules [ MR 2423582 ]
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Lawrence E. Thomas and Yao Wang — On a linear stochastic wave equation modeling heat flow [ MR 2423583 ]
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D. R. Yafaev — Exponential decay of eigenfunctions of first order systems [ MR 2423584 ]
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This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixty-fifth birthday of Jean-Michel Combes. The topics span modern mathematical physics with contributions on state-of-the-art results in the theory of random operators, including localization for random Schrödinger operators with general probability measures, random magnetic Schrödinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrödinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and long-time evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for first-order systems and solutions to the Ginzburg-Landau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.
Graduate students and research mathematicians interested in mathematical physics and statistical mechanics.
-
Articles
-
Walter H. Aschbacher — On the emptiness formation probability in quasi-free states [ MR 2423567 ]
-
Victor Chulaevsky — Wegner-Stollmann type estimates for some quantum lattice systems [ MR 2423568 ]
-
Monique Combescure — The mutually unbiased bases revisited [ MR 2423569 ]
-
Horia D. Cornean, Thomas G. Pedersen and Benjamin Ricaud — Perturbative vs. variational methods in the study of carbon nanotubes [ MR 2423570 ]
-
S. De Bièvre, P. Lafitte and P. E. Parris — Normal transport at positive temperatures in classical Hamiltonian open systems [ MR 2423571 ]
-
Pavel Exner and Jiří Lipovský — Equivalence of resolvent and scattering resonances on quantum graphs [ MR 2423572 ]
-
S. Fournais and B. Helffer — Optimal uniform elliptic estimates for the Ginzburg-Landau system [ MR 2423573 ]
-
François Germinet and Abel Klein — Localization for a continuum Cantor-Anderson Hamiltonian [ MR 2423574 ]
-
François Germinet and Serguei Tcheremchantsev — Generalized fractal dimensions on the negative axis for non compactly supported measures [ MR 2423575 ]
-
F. Ghribi, P. D. Hislop and F. Klopp — Localization for Schrödinger operators with random vector potentials [ MR 2423576 ]
-
George A. Hagedorn and Alain Joye — Vibrational levels associated with hydrogen bonds and semiclassical Hamiltonian normal forms [ MR 2423577 ]
-
Vojkan Jakšić and Claude-Alain Pillet — On the strict positivity of entropy production [ MR 2423578 ]
-
Arne Jensen and Gheorghe Nenciu — Uniqueness results for transient dynamics of quantum systems [ MR 2423579 ]
-
Vadim Kostrykin, Jürgen Potthoff and Robert Schrader — Heat kernels on metric graphs and a trace formula [ MR 2423580 ]
-
J. L. Lebowitz, A. Lytova and L. Pastur — On a random matrix model of quantum relaxation [ MR 2423581 ]
-
Didier Robert — Revivals of wave packets and Bohr-Sommerfeld quantization rules [ MR 2423582 ]
-
Lawrence E. Thomas and Yao Wang — On a linear stochastic wave equation modeling heat flow [ MR 2423583 ]
-
D. R. Yafaev — Exponential decay of eigenfunctions of first order systems [ MR 2423584 ]
